Finding the Third Proportional to 37,962 and 83,075

Step by Step Solution

1. Step 1: Write the proportion equation
   37,962 : 83,075 = 83,075 : x
2. Step 2: Convert to fraction form
   37,962/83,075 = 83,075/x
3. Step 3: Cross multiply
   37,962x = 83,075 × 83,075
4. Step 4: Simplify right side
   37,962x = 6,901,455,625
5. Step 5: Solve for x
   x = 6,901,455,625/37,962
6. Step 6: Final answer
   x = 181,799.05